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Riemann-Roch for homotopy invariant K-theory and Gysin morphisms

- A. Navarro
- Mathematics
- 3 May 2016

We prove the Riemann-Roch theorem for homotopy invariant $K$-theory and projective local complete intersection morphisms between finite dimensional noetherian schemes, without smoothness assumptions.… Expand

Lovelock's theorem revisited

- A. Navarro, J. Navarro
- Mathematics, Physics
- 13 May 2010

Let (X,g) be an arbitrary pseudo-riemannian manifold. A celebrated result by Lovelock ([4], [5], [6]) gives an explicit description of all second-order natural (0,2)-tensors on X, that satisfy the… Expand

Uniqueness of the Gauss–Bonnet–Chern formula (after Gilkey–Park–Sekigawa)

- A. Navarro, J. Navarro
- Mathematics
- 17 October 2015

Abstract On an oriented Riemannian manifold, the Gauss–Bonnet–Chern formula establishes that the Pfaffian of the metric represents, in de Rham cohomology, the Euler class of the tangent bundle.… Expand

Natural operations on holomorphic forms

- A. Navarro, J. Navarro, C. Prieto
- Mathematics
- 14 October 2016

We prove that the only natural differential operations between holomorphic forms on a complex manifold are those obtained using linear combinations, the exterior product and the exterior… Expand

On the higher Riemann-Roch without denominators.

- A. Navarro
- Mathematics
- 27 January 2019

We prove two refinements of the higher Riemann-Roch without denominators: a statement for regular closed immersions between arbitrary finite dimensional noetherian schemes, with no smoothness… Expand

Commutative monoids and their corresponding affine $$\Bbbk $$-schemes

- A. Navarro, J. Navarro, I. Ojeda
- Mathematics
- 1 October 2020

In this expository note, we give a self-contained presentation of the equivalence between the opposite category of commutative monoids and that of commutative, monoid
$$\Bbbk $$
-schemes that are… Expand

Ju l 2 01 4 Dimensional curvature identities on pseudo-Riemannian geometry

- A. Navarro, J. Navarro
- 2014

For a fixed n ∈ N, the curvature tensor of a pseudo-Riemannian metric, as well as its covariant derivatives, satisfy certain identities that hold on any manifold of dimension less or equal than n. In… Expand

Dimensional curvature identities on pseudo-Riemannian geometry

- A. Navarro, J. Navarro
- Mathematics, Physics
- 10 October 2013

Abstract For a fixed n ∈ N , the curvature tensor of a pseudo-Riemannian metric, as well as its covariant derivatives, satisfies certain identities that hold on any manifold of dimension less than or… Expand

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